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Finding the Third Proportional to 199,836 and 428,094

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Solution

The third proportional to 199,836 and 428,094 is: 917,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,836 : 428,094 = 428,094 : x
  2. Step 2: Convert to fraction form
    199,836/428,094 = 428,094/x
  3. Step 3: Cross multiply
    199,836x = 428,094 × 428,094
  4. Step 4: Simplify right side
    199,836x = 183,264,472,836
  5. Step 5: Solve for x
    x = 183,264,472,836/199,836
  6. Step 6: Final answer
    x = 917,074.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.